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Finding the Fourth Proportional to 307.22, 460.13 and 185.22

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Solution

The fourth proportional to 307.22, 460.13 and 185.22 is: 277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 460.13 = 185.22 : x
  2. Step 2: Convert to fraction form
    307.22/460.13 = 185.22/x
  3. Step 3: Cross multiply
    307.22x = 460.13 × 185.22
  4. Step 4: Simplify right side
    307.22x = 85,224.35
  5. Step 5: Solve for x
    x = 85,224.35/307.22
  6. Step 6: Final answer
    x = 277.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.